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331001201141 = 1321958586989
BaseRepresentation
bin1001101000100010011…
…01011000000111110101
31011122101001011012212222
410310101031120013311
520410342301414031
6412020532252125
732625342534062
oct4642115300765
91148331135788
10331001201141
11118416604596
1254197771045
13252a0761800
141204052bc69
158924154e7b
hex4d113581f5

331001201141 has 6 divisors (see below), whose sum is σ = 358421419170. Its totient is φ = 305539570128.

The previous prime is 331001201123. The next prime is 331001201173. The reversal of 331001201141 is 141102100133.

It can be written as a sum of positive squares in 3 ways, for example, as 358950916 + 330642250225 = 18946^2 + 575015^2 .

It is not a de Polignac number, because 331001201141 - 218 = 331000938997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331001201191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 979293326 + ... + 979293663.

It is an arithmetic number, because the mean of its divisors is an integer number (59736903195).

Almost surely, 2331001201141 is an apocalyptic number.

It is an amenable number.

331001201141 is a deficient number, since it is larger than the sum of its proper divisors (27420218029).

331001201141 is a wasteful number, since it uses less digits than its factorization.

331001201141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958587015 (or 1958587002 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 331001201141 its reverse (141102100133), we get a palindrome (472103301274).

The spelling of 331001201141 in words is "three hundred thirty-one billion, one million, two hundred one thousand, one hundred forty-one".

Divisors: 1 13 169 1958586989 25461630857 331001201141